Greatest Common Factor of 3295/310, 1755/6716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3295/310, 1755/6716

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3295/310,1755/6716

Given fractions are 3295/310,1755/6716

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3295,1755

Greatest Common Factor of Numerators i.e. GCF of 3295,1755 is 5 .

LCM of Denominators means LCM of 310,6716 as per the given fractions.

LCM of 310,6716 is 1040980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3295,1755

GCF of Fractions 3295/310,1755/6716 is 5/1040980

5 3295, 1755
659, 351

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3295,1755 By Matching Biggest Common Factor Method

Greatest Common Factor of 3295,1755 By Matching Biggest Common Factor Method

Factors of 3295

List of positive integer factors of 3295 that divides 3295 without a remainder.

1,5,659,3295

Factors of 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755

Greatest Common Factor

We found the factors 3295,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 3295,1755 is 5.

Lets's calculate LCM of 310,6716

2 310, 6716
155, 3358

∴ So the LCM of the given numbers is 2 x 155 x 3358 = 1040980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1040980

Therefore, the GCF of Fractions 3295/310,1755/6716 is 5/1040980

Least Common Multiple of 310,6716 with GCF Formula

Least Common Multiple of 310,6716 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 310,6716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,6716) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(310,6716) x common factors =2 x 1 = 2

LCM(310,6716) = ( 310 × 6716 ) / 2

LCM(310,6716) = 2081960 / 2

LCM(310,6716) = 1040980


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3295/310, 1755/6716

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3295/310, 1755/6716?

Answer: GCF of Numerators as per given numbers 3295/310, 1755/6716 is

GCF of Numerators i.e. for 3295,1755 is 5

LCM of denominators i.e. for 310,6716 is 1040980.

Thus, GCF of Fractions is 5/1040980.Finally, GCF of Fractions for 3295/310, 1755/6716 is 5/1040980.